Moderate# Kinematics Polynomials: When Does the Puppy Return Home?

APPHMC-BSNIXY

A wayward puppy leaves home at $t=0.0 \text{ }s$ and moves along a straight path, with a varying velocity. The velocity of the puppy, in $m/s$, is given by the function $v(t) = -0.036{t}^{2}+1.2t $, where $t$ is measured in seconds.

When, if ever, does the puppy return home?